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Abstrakty
In this paper, we investigate the global behavior of the difference equation of order three xn+1 = α + ...[wzór], n = 0, 1,… where the parameters α, k ∈ (0, ∞) and the initial values x-2, x-1 and x0 are arbitrary positive real numbers.
Czasopismo
Rocznik
Tom
Strony
133-139
Opis fizyczny
Bibliogr. 13 poz.
Twórcy
autor
- Selcuk University, Education Faculty Department of Mathematics 42099, Meram Yeni Yol, Konya, TURKIYE, iyalcinkaya1708@yahoo.com
Bibliografia
- [1] Amleh A.M., Grove E.A., Ladas G., On the recursive sequence xn+1 =α + (xn+1/xn), J. Math. Anal. Appl., 233(2)(1999), 790-798.
- [2] Cinar C., On the positive solutions of the difference equation xn+1 =(axn−1)/(1 + bxnxn−1), Appl. Math. Comp., 156(2004), 587-590.
- [3] Cinar C., On the positive solutions of the difference equation xn+1 = (axn−1)/(-1 + axnxn−1), Appl. Math. Comp., 158(3)(2004), 793-797.
- [4] Cinar C., On the positive solutions of the difference equation xn+1 = (xn−1)/(1 + axnxn−1), Appl. Math. Comp., 158(3)(2004), 809-812.
- [5] Elaydi S.N., An Introduction to Difference Equations, Springer-Verlag, New-York, Ink, (1996).
- [6] Feuer J., On the behavior of solutions of xn+1 = p + (xn−1/xn), Applicable Anal., 83(6)(2004), 599-606.
- [7] Gibbons C.H., Kulenovi M.R.S., Ladas G., On the recursive sequence yn+1 = (α + βyn−1) / (ϒ + yn), Math. Sci. Res. Hot-Line 4, 2(2000), 1-11.
- [8] Hamza A.E., Morsy A., On the recursive sequence xn+1 = α +(xn−1/x) Applied Math. Letters, 22(2009), 91-95.
- [9] Kelley M.G., Peterson A.C., Difference Equations: An Introduction with Applications, Academic press, 1991.
- [10] Kocić V.L., Ladas G., Global Behavior of Nonlinear Difference Equations of Higher Order with Applications, Kluwer Acad. Publ., Dordrecht 1993.
- [11] Kosmala W., Kulenović M.R.S., Ladas G., Teixeira C.T., On the recursive sequence yn+1 = (p + yn−1) / (qyn + yn−1), J. Math. Anal. Appl., 251(2000), 571-586.
- [12] Kulenović M.R.S., Ladas G., Dynamics of Second Order Rational Difference Equations, Chapman Hall / C. R. C. Press, (2002).
- [13] Kulenović M.R.S., Merino O., Discrete Dynamical Systems and Difference Equations with Mathematica, Chapman Hall / C. R. C. Press, Boca Raton / London (2002).
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-BPP3-0002-0059